Let $V$ and $W$ be linear spaces, $D$ be a subspace of $V$, and $f:D\to W$ be a linear map.
Why do functional analysts call $f$ an operator on $V$ instead of a linear map on $D$?
Let $V$ and $W$ be linear spaces, $D$ be a subspace of $V$, and $f:D\to W$ be a linear map.
Why do functional analysts call $f$ an operator on $V$ instead of a linear map on $D$?
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